Question

pendulum1

A mass m = 7.6 kg hangs on the end of a massless rope L = 1.87 m
long. The pendulum is held horizontal and released from rest.
1)How fast is the mass moving at the bottom of its path?
2)What is the magnitude of the tension in the string at the bottom
of the path?
3)If the maximum tension the string can take without breaking is
Tmax = 622 N, what is the maximum mass that can be used? (Assuming
that the mass is still released from the horizontal and swings down
to its lowest point.)
4)Now a peg is placed 4/5 of the way down the pendulum’s path so
that when the mass falls to its vertical position it hits and wraps
around the peg. As it wraps around the peg and attains its maximum
height it ends a distance of 3/5 L below its starting point (or 2/5
L from its lowest point).

How fast is the mass moving at the top of its new path (directly
above the peg)?